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05 September 2022 | Story Andrè Damons | Photo Andrè Damons
Prof Abdon Atangana
Prof Abdon Atangana, Professor of Applied Mathematics in the Institute for Groundwater Studies (IGS) and a highly cited mathematician for the years 2019-2021, says existing mathematical models are used to first fit collected data and then predict future events. It is for this reason he introduced a new concept that can be used to test whether the spread will have one or several waves.

With a new outbreak of the Ebola Virus Disease (EVD) reported this year in Democratic Republic of the Congo (DRC) – the 14th EVD outbreak in the country – researchers at the University of the Free State (UFS) introduced a new concept that can be used to test whether the spread will have one or several waves. They believe the focus should be to identify the source or the hosts of this virus for it to be a complete eradication. 

According to the Centers for Disease Control and Prevention (CDC), the Ministry of Health in the Democratic Republic of the Congo (DRC) declared an outbreak of Ebola in Mbandaka health zone, Equateur Province on April 23, 2022. EVD, formerly known as Ebola haemorrhagic fever, is a severe, often fatal illness affecting humans and other primates. The virus is transmitted to people from wild animals (such as fruit bats, porcupines and non-human primates) and then spreads in the human population through direct contact with the blood, secretions, organs or other bodily fluids of infected people, and with surfaces and materials (e.g. bedding, clothing) contaminated with these fluids, according to the World Health Organisation (WHO).
 
Prof Abdon Atangana, Professor of Applied Mathematics in the Institute for Groundwater Studies (IGS), says existing mathematical models are used to first fit collected data and then predict future events. Predictions help lawmakers to take decisions that will help protect their citizens and their environments. The outbreaks of COVID-19 and other infectious diseases have exposed the weakness of these models as they failed to predict the number of waves and in several instances; they failed to predict accurately day-to-day new infections, daily deaths and recoveries.

Solving the challenges of the current models

In the case of COVID-19 in South Africa, it is predicted that the country had far more infections than what was recorded, which is due to challenges faced by the medical facilities, poverty, inequality, and other factors. With Ebola in the DRC, data recorded are not far from reality due to the nature of the virus and its symptoms. However, the predictions show although some measures have been put in place in DRC and other places where the Ebola virus spread, they will still face some challenges in the future, as the virus will continue to spread but may have less impact. 

“To solve the challenges with the current models, we suggested a new methodology. We suggested that each class should be divided into two subclasses (Detected and undetected) and we also suggested that rates of infection, recovery, death and vaccination classes should be a function of time not constant as suggested previously. These rates are obtained from what we called daily indicator functions. For example, an infection rate should be obtained from recorded data with the addition of an uncertain function that represents non-recorded data (Here more work is still to be done to get a better approximation).

“I introduced a new concept called strength number that can be used to test whether the spread will have one or several waves. The strength number is an accelerative force that helps to provide speed changes, thus if this number is less than zero we have deceleration, meaning there will be a decline in the number of infections. If the number is positive, we have acceleration, meaning we will have an increase in numbers. If the number is zero, the current situation will remain the same,” according to Prof Atangana. 

To provide better prediction, he continues, reliable data are first fitted with the suggested mathematical model. This helps them to know if their mathematical model is replicating the dynamic process of the spread. The next step is to predict future events, to do this, we create three sub-daily indicator functions (minimum, actual, and maximum). These will lead to three systems, the first system represents the worst-case scenario, the second is the actual scenario, and the last is a best-case scenario.

Virus will continue to spread but with less impact

Using this method, Prof Atangana, a highly cited mathematician for the years 2019-2021, says he and Dr Seda Igret Araz, postdoctoral student, were able to predict that, although some measures have been put in place in DRC and other places where the Ebola virus spreads, they will still face some challenges in the future as the virus will continue to spread but may have less impact. 

To properly achieve the conversion from observed facts into mathematical formulations and to address these limitations, he had to ask fundamental questions such as what is the rate of infection, what is the strength of the infection, what are the crossover patterns presented by the spread, how can day-to-day new infected numbers be predicted and what differential operator should be used to model a dynamic process followed by the spread?

This approach was tested for several infectious diseases where we present the case of Ebola in Congo and Covid-19 in South Africa.  

News Archive

Sites of memory. Sites of trauma. Sites of healing.
2015-04-01

Judge Albie Sachs – human rights activist and co-creator of South Africa’s constitution – presented the first Vice Chancellor’s Lecture on Trauma, Memory, and Representations of the Past on 26 March 2015 on the Bloemfontein Campus.

His lecture, ‘Sites of memory, sites of conscience’, forms part of a series of lectures that will focus on how the creative arts represent trauma and memory – and how these representations may ultimately pave the way to healing historical wounds. This series is incorporated into the five-year research project, led by Prof Pumla Gobodo-Madikizela, and funded by the Mellon Foundation.

Sites of memory and conscience – and healing

“Deep in solitary confinement, I read in the Bible: ‘the lion lay down with the lamb … swords will be beaten into ploughshares.’” And with these opening words, Judge Sachs took the audience on a wistful journey to the places in our country that ache from the past but are reaching for a better future at the same time.

Some of the sites of memory and conscience Judge Sachs discussed included the Apartheid Museum, Liliesleaf, District Six Museum, and the Red Location Museum. But perhaps most powerful of them all is Robben Island.

Robben Island

“The strength of Robben Island,” Judge Sachs said, “comes from its isolation. Its quietness speaks”. Former prisoners of the island now accompany visitors on their tours of the site, retelling their personal experiences. It was found that, the quieter the ex-prisoners imparted their stories, “the gentler and softer their memories; the more powerful the impact,” Judge Sachs remarked. Instead of anger and denouncement, this reverence provides a space for visitors’ own emotions to emerge. This intense and powerful site has become a living memory elevated into a place of healing.

After Judge Sachs visited the National Women’s Memorial in Bloemfontein some years ago, he came to an acute realisation as he read the stories, experienced the grief, and saw the small relics that imprisoned commandoes from Ceylon and St Helena sculpted. “It’s so like us,” he thought, “our people on Robben Island making a saxophone out of seaweed, our people carving little things. It was so like us. It was another form of inhumanity to human beings in another period.”

The Constitutional Court

The Constitutional Court next to the Old Fort Prison is also a profound site of trauma and healing. Bricks from the awaiting trial lock-up were built into the court chambers. “We don’t suppress it, we don’t say let’s move on. We acknowledge the pain of the past. We live in it, but we are not trapped in it. We South Africans are capable of transcending, of getting beyond it,” Judge Sachs said.

Transforming swords into ploughshares

Judge Sachs had great praise for Prof Gobodo-Madikizela’s research project on Trauma, Memory, and Representations of the Past. “You convert and transform the very swords, the very instruments, the very metal in our country. In a sense, you almost transform the very people and thoughts and dreams and fears and terrors into the ploughshares; into positivity.”

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